Not renting to ppl with pets

hi, I’m new and clueless ,can anyone help me get this out there, in the right section. Sorry for any inconvenience.

I have recently been made homeless due to my partner severe illness requiring specialist care, ending my relationship suddenly. And having to rehome my step daughter as priority which I have done.

I am 46 years old and suffer from long term chronic social anxiety and depression as well as other minor health issues , Mainly mental health not that you would notice at least.

I have two elderly (super senior) very well trained house cats that I could absolutely not abandon.

I am looking for a 1 bedroom flat in the Morecambe area , supported by Lancaster City Coucncil Homeless team,
so I can be closer to my family and have security after the shock of this.

If anybody out there can help me I would be so grateful.
I couldn’t put them into a home after 16 years of raising a mother and daughter. So I’m pretty desperate to find something.
In the area.

Thankyou in advance for any help.